In a closed system, three objects have the following momentums: 110 kg⋅m/s

Question

, −65 kg⋅m/s
, and −100 kg⋅m/s
. The objects collide and move together. What is the total momentum after the collision?(1 point)
Responses

55 kg⋅m/s
55 kilograms times meters per second

275 kg⋅m/s
275 kilograms times meters per second

−275 kg⋅m/s
negative 275 kilograms times meters per second

−55 kg⋅m/s

Answer 1

To find the total momentum after the collision, we first need to calculate the total initial momentum of the system by adding the momentums of the three objects.

The momentums given are:

1. \( 110 , \text{kg⋅m/s} \)
2. \( -65 , \text{kg⋅m/s} \)
3. \( -100 , \text{kg⋅m/s} \)

Now, let's sum them up:

\[ \text{Total Momentum} = 110 , \text{kg⋅m/s} + (-65 , \text{kg⋅m/s}) + (-100 , \text{kg⋅m/s}) \]

Calculating this step-by-step:

1. \( 110 - 65 = 45 , \text{kg⋅m/s} \)
2. \( 45 - 100 = -55 , \text{kg⋅m/s} \)

Therefore, the total momentum after the collision is:

\[ -55 , \text{kg⋅m/s} \]

The correct response is:

−55 kg⋅m/s